This mathematics curriculum lesson teaches students about converting ratios to rates. Students are given examples that involve ratios related to costs and distances traveled. They calculate unit rates and rates for various scenarios. The lesson emphasizes that a ratio comparing two quantities, such as miles per hours, can be written as a rate. The numerical part of the rate is the unit rate, which indicates the value of the ratio.

1. NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16
6•1
Lesson 16:From Ratios to Rates
Ratios can be transformed to rates and unit rates.
Classwork
Example 1: Introduction to Rates and Unit Rates
Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.
a.
How much do 2 packs of dietcola cost?
b.
How much does 1 pack of dietcola cost?
Exploratory Challenge
1.
Teagan went to Gamer Realm to buy new video games. Gamer Realm was having a sale:
for video games. He
bought games for himself and one game for his friend, Diego, but Teagan does not know how much Diego owes
him for the one game. What is the unit price of the video games? What is the rate unit?
Lesson 16:
Date:
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From Ratios to Rates
10/22/13
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2. Lesson 16
NYS COMMON CORE MATHEMATICS CURRICULUM
2.
6•1
Four football fans took turns driving the distance from New York to Oklahoma to see a big game. Each driver set the
cruise control during his leg of the trip, enabling him to travel at a constant speed. The men changed drivers each
time they stopped for gas and recorded their driving times and distances in the table below.
Fan
Distance (miles)
Time (hours)
Andre
Matteo
Janaye
Greyson
208
456
300
265
4
8
6
5
Use the given data to answer the following questions.
a.
What two quantities are being compared?
b.
What is the ratio of the two quantities for Andre’s car? What is the associated rate?
Andre’s Ratio: _________________
c.
Andre’s Rate: ________________
Answer the same two questions in part (b) for the other three drivers.
Matteo’s Ratio: _________________
Janaye’s Ratio: _________________
Janaye’s Rate: _________________
Greyson’s Ratio: _________________
d.
Matteo’s Rate: _________________
Greyson’s Rate: _________________
For each driver, circle the unit rate and put a box around the rate unit.
Lesson 16:
Date:
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From Ratios to Rates
10/22/13
S.69
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

3. NYS COMMON CORE MATHEMATICS CURRICULUM
3.
Lesson 16
6•1
A publishing company is looking for new employees to type novels that will soon be published. The publishing
company wants to find someone who can type at least 45 words per minute. Dominique discovered she can type at
a constant rate of
words in
minutes. Does Dominique type at a fast enough rate to qualify for the job?
Explain why or why not.
Lesson 16:
Date:
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From Ratios to Rates
10/22/13
S.70
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

4. NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 16
6•1
Lesson Summary
A ratio of two quantities, such as
miles per
hours, can be written as another quantity called a rate.
The numerical part of the rate is called the unit rate and is simply the value of the ratio, in this case
that in hour, the car travels
miles. The unit for the rate is miles/hour, read “miles per hour”.
. This means
Problem Set
The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding
deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.
1.
At Grocery Mart, strawberries cost $2.99 for 2lbs., and at Baldwin Hills Market strawberries are $3.99 for 3 lbs.
a.
2.
What is the unit price of strawberries at each grocery store?If necessary, round to the nearest penny.
b.
If the Scott family wanted to save money, where should they go to buy strawberries? Why?
Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a
bag of potatoes cost
and at Baldwin Hills Market a
bag of potatoes costs
. Which store offers the best dealon potatoes?
How do you know? How much better is the deal?
Lesson 16:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org
From Ratios to Rates
10/22/13
S.71
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.